https://doi.org/10.1140/epjp/s13360-022-03644-0
Regular Article
The generalized Schottky model of thermionic emission in complex metal with nonextensive quantum statistics
School of Science, Henan Institute of Technology, 453003, Xinxiang City, China
Received:
9
June
2022
Accepted:
29
December
2022
Published online:
18
January
2023
In this paper, by use of the new version of nonextensive quantum statistics, established on basis of a technique called parameter transformation, we study the thermionic emission phenomenon in the complex metals, which contains long rang interactions or correlations. Employing the free electron model, one can obtain the analytical expression of the emission current density with zero field. It is interesting that, due to the Tsallis correction related to the parameter ν, the emission current density with zero field exhibits complicated dependence on temperature. By generalizing the Schottky effect/model, the thermionic emission expression with external field is also obtained. The numerical analysis shows that the emission current with external field is increasing sensitively with the nonextensive parameter ν. These results obtained in the present work might be suitable in metal materials research such as the metal containing impurities, the one whose electron density is much larger, the transition metal, the system with heavy Fermion and the one whose lattice oscillation contains non-nearest interactions due to some pressure from outside.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
